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Skin-friction reduction using periodic blowing through streamwise slits

Published online by Cambridge University Press:  16 June 2021

X.Q. Cheng Open the ORCID record for X.Q. Cheng [Opens in a new window] ,
Z.X. Qiao ,
X. Zhang ,
M. Quadrio Open the ORCID record for M. Quadrio [Opens in a new window]  and
Y. Zhou
X.Q. Cheng
Affiliation:
Center for Turbulence Control, Harbin Institute of Technology, Shenzhen518055, China
Z.X. Qiao
Affiliation:
Center for Turbulence Control, Harbin Institute of Technology, Shenzhen518055, China
X. Zhang
Affiliation:
Center for Turbulence Control, Harbin Institute of Technology, Shenzhen518055, China
M. Quadrio
Affiliation:
Department of Aerospace Science and Technology, Politecnico di Milano, via La Masa 34, 20156Milano, Italy
Y. Zhou*
Affiliation:
Center for Turbulence Control, Harbin Institute of Technology, Shenzhen518055, China
*
†Email address for correspondence: [email protected]
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Abstract

Active skin-friction reduction in a turbulent boundary layer (TBL) is experimentally studied based on time-periodic blowing through one array of streamwise slits. The control parameters investigated include the blowing amplitude A+ and frequency f+, which, expressed in wall units, range from 0 to 2 and from 0.007 to 0.56, respectively. The maximum local friction reduction downstream of the slits reaches more than 70 %; friction does not fully recover to the state of the natural TBL until 500 wall units behind the slits. A positive net power saving is possible, and 4.01 % is measured with a local friction drag reduction (DR) of 49 %. A detailed analysis based on hot-wire, particle image velocimetry and smoke-wire flow visualization data is performed to understand the physical mechanisms involved. Spectral analysis indicates weakened near-wall large-scale structures. Flow visualizations show stabilized streaky structures and a locally relaminarized flow. Two factors are identified to contribute to the DR. Firstly, the jets from the slits create streamwise vortices in the near-wall region, preventing the formation of near-wall streaks and interrupting the turbulence generation cycle. Secondly, the zero-streamwise-momentum fluid associated with the jets also accounts for the DR. A closed-loop opposing control system is developed, along with an open-loop desynchronized control scheme, to quantify the two contributions. The latter is found to account for 77 % of the DR, whereas the former is responsible for 23 %. An empirical scaling of the DR is also proposed, which provides valuable insight into the TBL control physics.

JFM classification

Boundary Layers: Boundary layer control
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 920 , 10 August 2021 , A50
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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Footnotes

‡

Joint first authors.

References

Abbassi, M.R., Baars, W.J., Hutchins, N. & Marusic, I. 2017 Skin-friction drag reduction in a high-Reynolds-number turbulent boundary layer via real-time control of large-scale structures. Intl J. Heat Fluid Flow 67, 30–41.CrossRefGoogle Scholar
Antonia, R., Kim, J. & Browne, L. 1991 Some characteristics of small-scale turbulence in a turbulent duct flow. J. Fluid Mech. 233, 369–388.CrossRefGoogle Scholar
Bai, H.L., Zhou, Y., Zhang, W.G., Xu, S.J., Wang, Y. & Antonia, R.A. 2014 Active control of a turbulent boundary layer based on local surface perturbation. J. Fluid Mech. 750, 316–354.CrossRefGoogle Scholar
Baron, A. & Quadrio, M. 1996 Turbulent drag reduction by spanwise wall oscillations. Appl. Sci. Res. 55, 311–326.CrossRefGoogle Scholar
Benedict, L.H. & Gould, R.D. 1996 Towards better uncertainty estimates for turbulence statistics. Exp. Fluids 22, 129–136.CrossRefGoogle Scholar
Bernard, P.S., Thomas, J.M. & Handler, R.A. 1993 Vortex dynamics and the production of Reynolds stress. J. Fluid Mech. 253, 385–419.CrossRefGoogle Scholar
Carlson, H.A. & Lumley, J.L. 1996 Active control in the turbulent wall layer of a minimal flow unit. J. Fluid Mech. 329, 341–371.CrossRefGoogle Scholar
Castillo, E. 1988 Extreme Value Theory in Engineering. Academic Press.Google Scholar
Choi, H., Moin, P. & Kim, J. 1993 Direct numerical simulation of turbulent flow over riblets. J. Fluid Mech. 255, 503–539.CrossRefGoogle Scholar
Du, Y., Symeonidis, V. & Karniadakis, G.E. 2002 Drag reduction in wall-bounded turbulence via a transverse travelling wave. J. Fluid Mech. 457, 1–34.CrossRefGoogle Scholar
Fukagata, K., Iwamoto, K. & Kasagi, N. 2002 Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14, L73–L76.CrossRefGoogle Scholar
Gatti, D. & Quadrio, M. 2016 Reynolds-number dependence of turbulent skin-friction drag reduction induced by spanwise forcing. J. Fluid Mech. 802, 553–582.CrossRefGoogle Scholar
Hamilton, J.M., Kim, J. & Waleffe, F. 1995 Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 287, 317–348.CrossRefGoogle Scholar
Hutchins, N. & Choi, K.-S. 2002 Accurate measurements of local skin friction coefficient using hot-wire anemometry. Prog. Aerosp. Sci. 38, 421–446.CrossRefGoogle Scholar
Iuso, G., Onorato, M., Spazzini, P.G. & Di Cicca, G.M. 2002 Wall turbulence manipulation by large-scale streamwise vortices. J. Fluid Mech. 473, 23–58.CrossRefGoogle Scholar
Kametani, Y. & Fukagata, K. 2011 Direct numerical simulation of spatially developing turbulent boundary layers with uniform blowing or suction. J. Fluid Mech. 681, 154–172.CrossRefGoogle Scholar
Karniadakis, G.E. & Choi, K.-S. 2003 Mechanisms on transverse motions in turbulent wall flows. Annu. Rev. Fluid Mech. 35, 45–62.CrossRefGoogle Scholar
Kasagi, N., Suzuki, Y. & Fukagata, K. 2009 Microelectromechanical Systems–based feedback control of turbulence for skin friction reduction. Annu. Rev. Fluid Mech. 41, 231–251.CrossRefGoogle Scholar
Kim, J. 1983 On the structure of wall-bounded turbulent flows. Phys. Fluids 26, 2088–2097.CrossRefGoogle Scholar
Kim, J. 2011 Physics and control of wall turbulence for drag reduction. Phil. Trans. A Math. Phys. Engng Sci. 369, 1396–411.Google ScholarPubMed
Kim, J., Kim, K. & Sung, H.J. 2003 Wall pressure fluctuations in a turbulent boundary layer after blowing or suction. AIAA J. 41, 1697–1704.CrossRefGoogle Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.CrossRefGoogle Scholar
Kim, K. & Sung, H.J. 2003 Effects of periodic blowing from spanwise slot on a turbulent boundary layer. AIAA J. 41, 1916–1924.CrossRefGoogle Scholar
Kim, K. & Sung, H.J. 2006 Effects of unsteady blowing through a spanwise slot on a turbulent boundary layer. J. Fluid Mech. 557, 423–450.CrossRefGoogle Scholar
Kline, S.J., Reynolds, W., Schraub, F. & Runstadler, P. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–773.CrossRefGoogle Scholar
Kornilov, V.I. & Boiko, A.V. 2012 Efficiency of air microblowing through microperforated wall for flat plate drag reduction. AIAA J. 50, 724–732.CrossRefGoogle Scholar
Kravchenko, A.G., Choi, H. & Moin, P. 1993 On the relation of near-wall streamwise vortices to wall skin friction in turbulent boundary layers. Phys. Fluids 5, 3307–3309.CrossRefGoogle Scholar
Krogstad, P.-A. & Kourakine, A. 2000 Some effects of localized injection on the turbulence structure in a boundary layer. Phys. Fluids 12, 2990–2999.CrossRefGoogle Scholar
Li, W., Roggenkamp, D., Hecken, T., Jessen, W., Klaas, M. & Schröder, W. 2018 Parametric investigation of friction drag reduction in turbulent flow over a flexible wall undergoing spanwise transversal traveling waves. Exp. Fluids 59, 105.CrossRefGoogle Scholar
Lundell, F. & Alfredsson, P.H. 2004 Streamwise scaling of streaks in laminar boundary layers subjected to free-stream turbulence. Phys. Fluids 16, 1814–1817.CrossRefGoogle Scholar
New, T.H., Lim, T.T. & Luo, S.C. 2006 Effects of jet velocity profiles on a round jet in cross-flow. Exp. Fluids 40, 859–875.CrossRefGoogle Scholar
Orlandi, P. & Jiménez, J. 1994 On the generation of turbulent wall friction. Phys. Fluids 6, 634–641.CrossRefGoogle Scholar
Park, J. & Choi, H. 1999 Effects of uniform blowing or suction from a spanwise slot on a turbulent boundary layer flow. Phys. Fluids 11, 3095–3105.CrossRefGoogle Scholar
Perlin, M., Dowling, D.R. & Ceccio, S.L. 2016 Freeman scholar review: passive and active skin-friction drag reduction in turbulent boundary layers. Trans. ASME J. Fluids Engng 138, 091104.CrossRefGoogle Scholar
Pope, S.B. 2001 Turbulent Flows. Cambridge University Press.Google Scholar
Qiao, Z.X., Wu, Z. & Zhou, Y. 2018 Turbulent boundary layer manipulation under a proportional-derivative closed-loop scheme. Phys. Fluids 30, 115101.CrossRefGoogle Scholar
Qiao, Z.X., Xu, S.J. & Zhou, Y. 2019 On the measurement of wall-normal velocity derivative in a turbulent boundary layer. Flow Turbul. Combust. 103, 369–387.CrossRefGoogle Scholar
Qiao, Z.X., Zhou, Y. & Wu, Z. 2017 Turbulent boundary layer under the control of different schemes. Proc. R. Soc. Lond. A 473, 20170038.Google ScholarPubMed
Quadrio, M. 2011 Drag reduction in turbulent boundary layers by in-plane wall motion. Phil. Trans. R. Soc. Lond. A 369, 1428–1442.Google ScholarPubMed
Quadrio, M. & Ricco, P. 2011 The laminar generalized Stokes layer and turbulent drag reduction. J. Fluid Mech. 667, 135–157.CrossRefGoogle Scholar
Quadrio, M., Ricco, P. & Viotti, C. 2009 Streamwise-travelling waves of spanwise wall velocity for turbulent drag reduction. J. Fluid Mech. 627, 161–178.CrossRefGoogle Scholar
Raffel, M., Willert, C.E., Scarano, F., Kähler, C.J., Wereley, S.T. & Kompenhans, J. 2018 Particle Image Velocimetry: A Practical Guide. Springer.CrossRefGoogle Scholar
Rathnasingham, R. & Breuer, K.S. 2003 Active control of turbulent boundary layers. J. Fluid Mech. 495, 209–233.CrossRefGoogle Scholar
Rebbeck, H. & Choi, K.-S. 2001 Opposition control of near-wall turbulence with a piston-type actuator. Phys. Fluids 13, 2142–2145.CrossRefGoogle Scholar
Robinson, S.K. 1991 Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech. 23, 601–639.CrossRefGoogle Scholar
Schoppa, W. & Hussain, F. 1998 A large-scale control strategy for drag reduction in turbulent boundary layers. Phys. Fluids 10, 1049–1051.CrossRefGoogle Scholar
Schoppa, W. & Hussain, F. 2002 Coherent structure generation in near-wall turbulence. J. Fluid Mech. 453, 57–108.CrossRefGoogle Scholar
Sciacchitano, A. & Wieneke, B. 2016 PIV uncertainty propagation. Meas. Sci. Technol. 27, 084006.CrossRefGoogle Scholar
Sciacchitano, A., Wieneke, B. & Scarano, F. 2013 PIV uncertainty quantification by image matching. Meas. Sci. Technol. 24, 045302.CrossRefGoogle Scholar
Simpson, R.L., Strickland, J.H. & Barr, P.W. 1977 Features of a separating turbulent boundary layer in the vicinity of separation. J. Fluid Mech. 79, 553–594.CrossRefGoogle Scholar
Skote, M. 2014 Scaling of the velocity profile in strongly drag reduced turbulent flows over an oscillating wall. Intl J. Heat Fluid Flow 50, 352–358.CrossRefGoogle Scholar
Spalart, P.R. 1988 Direct simulation of a turbulent boundary layer up to $R\theta = 1410$. J. Fluid Mech. 187, 69–98.CrossRefGoogle Scholar
Stroh, A., Frohnapfel, B., Schlatter, P. & Hasegawa, Y. 2015 A comparison of opposition control in turbulent boundary layer and turbulent channel flow. Phys. Fluids 27, 075101.CrossRefGoogle Scholar
Stroh, A., Hasegawa, Y., Schlatter, P. & Frohnapfel, B. 2016 Global effect of local skin friction drag reduction in spatially developing turbulent boundary layer. J. Fluid Mech. 805, 303–321.CrossRefGoogle Scholar
Tardu, S.F. 2001 Active control of near-wall turbulence by local oscillating blowing. J. Fluid Mech. 439, 217–253.CrossRefGoogle Scholar
Tardu, S.F. & Doche, O. 2009 Active control of the turbulent drag by a localized periodical blowing dissymmetric in time. Exp. Fluids 47, 19–26.CrossRefGoogle Scholar
Tomiyama, N. & Fukagata, K. 2013 Direct numerical simulation of drag reduction in a turbulent channel flow using spanwise traveling wave-like wall deformation. Phys. Fluids 25, 105115.CrossRefGoogle Scholar
Wallace, J.M. 2016 Quadrant analysis in turbulence research: history and evolution. Annu. Rev. Fluid Mech. 48, 131–158.CrossRefGoogle Scholar
Yao, J., Chen, X. & Hussain, F. 2018 Drag control in wall-bounded turbulent flows via spanwise opposed wall-jet forcing. J. Fluid Mech. 852, 678–709.CrossRefGoogle Scholar
Zhang, B.F., Liu, K., Zhou, Y., To, S. & Tu, J.Y. 2018 Active drag reduction of a high-drag Ahmed body based on steady blowing. J. Fluid Mech. 856, 351–396.CrossRefGoogle Scholar

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